5.1 - Angles of Triangles Notes - Mrs. Theodoropoulos RHS Class Website

5.1 Angles of Triangles Notes

5.1 Angles in Triangles

January 12, 2022

Your Name Mrs. Theo

/ / Notes

Lesson Objectives

? Find interior and exterior angles of triangles ? Classify triangles by side lengths and angle measures

Role Play

Group Member Grade

Group Roles Practice

on a scale of 1 - 10 how well did your partner perform their role?

Classifying Triangles Assignment what could they do to improve in

their group role for next time?

Task Reader: We are now working on number ___

Member Name:

We need to classify each triangle by its _____ Rating:

Needs to improve on:

Questioner: Do we need to look at the angles or the sides?

What are the measurements of the _____

Member Name:

How many are the same?

Rating:

Which classification name matches this scenario?Needs to improve on:

Are we dealing with interior angles or exterior

angles? What is the formula we need to use?

How should we set up the equation?

Solution Confirmer: Did we answer all the questions?

The classification for the triangle in question __ is _______

Member Name: Rating: Needs to improve on:

The measure of the identified angle in question __ is _______

Does everyone have this written down?

Teacher Liason: Our group is having trouble with number ___. Member Name:

We discussed it and think ___, but could you

explain ____?

Rating:

Hi Mrs. Theo, we are currently working on

Needs to improve on:

number _____, we are doing fine/need help.

5.1 Angles of Triangles Notes

Angle Measures in Triangles

January 12, 2022

Triangle Sum Theorem

The sum of the measures of the interior angles of a triangle is 180o.

Exterior Angle Theorem

The measure of an exterior angle in a triangle is equal to the sum of the nonadjacent interior angles.

5.1 Angles of Triangles Notes

Leg

Leg

Base

Base

January 12, 2022

Leg

Leg

Base Angles are (in isos triangles)

5.1 Angles of Triangles Notes

January 12, 2022

4.5

5.1 Angles of Triangles Notes

January 12, 2022

Mental Floss

The ratio of boys to girls taking enriched Geometry at Richwoods is 4:5. If there are a total of 135 students in all enriched Geometry classes, how many girls are in these classes?

In Exercises 1922,

19.

20.

21.

22.

In Exercises 23 and 24, classify the triangle by its sides and by measuring its angles.

23.

24.

2528

25.

26.

29.

28.

29

29.

In Exercises 3032, find the measure of the indicated angle using the information given.

30.

31. Angles in a ratio of 7:7:22

xo

32.Angles in a ratio of

5:7:6

xo xo

3336

35.

36.

33.

34.

exterior angle:_____o exterior angle:_____o

exterior angle:_____o exterior angle:_____o

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